In: Statistics and Probability
A statistical program is recommended.
ONE-SAMPLE T TEST :
The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experimental conditions.
32.1 | 30.5 | 31.6 | 30.4 | 31.0 | 31.9 |
The report states that under these conditions, the maximum allowable stopping distance is 30. A normal probability plot validates the assumption that stopping distance is normally distributed.
a) Determine the probability of a type II error when α = 0.01,σ = 0.65, and the actual value of μ is 31 (use statistical software or Table A.17). (Round your answer to three decimal places.)
b) Repeat this for μ = 32. (Round your answer to three decimal places.)
c) What is the smallest sample size necessary to have α = 0.01 and β = 0.10 when μ = 31 and σ = 0.65? (Round your answer to the nearest whole number.)